Skip to main content
SpringerLink
Log in

Correlation of Analysis and Test in Modeling of Structures: Assessment and Review

  • Chapter
Structural Safety Evaluation Based on System Identification Approaches

Abstract

For any structure, mechanical system or component, an accurate mathematical model is a necessity for the prediction of loads and responses, establishing stability margins, design of control system and integrity monitoring, among other uses. Analytical modeling techniques, even through fairly advanced, possess enough uncertainties to justify testing of the full scale actual structure, or a prototype, in order to verify, improve or optimize an existing analytical model. Test data, or identified parameters, are usually used to identify a dynamic model-mass, stiffness and damping distribution or optimize an existing analytical model.

In this paper, the problem of dynamic modeling of structures and model updating is discussed. The existing approaches are reviewed in order to evaluate the existing state of the art. Present limitations are summarized and recommendations for future work are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Young, J.P. and On, F.J., “Mathematical Modeling Via Direct Use of Vibration Data,” National Aeronautic and Space Engineering and Manufacturing Meeting, Society of Automotive Engineers, Los Angeles, California, October 1969, Reprint No. 690615.

    Google Scholar 

  2. Pilkey, W. D. and Cohen, R. (eds), “System Identification of Vibrating Structures, Mathematical Models from Test Data,” American Society of Mechanical Engineers, New York, 1972.

    MATH  Google Scholar 

  3. Berman, A. and Flannelly, W. G., “Theory of Incomplete Models of Dynamic Structures,” AIAA Journal, Vol. 9, Aug. 1971, pp. 1481–1487.

    Article  Google Scholar 

  4. Leuridan, J., Some Direct Parameter Model Identification Methods Applicable for Multiple Input Modal Analysis,“ Ph.D. Dissertation, University of Cincinnati, Ohio, U.S.A., 1984, 384 pp.

    Google Scholar 

  5. Coppolino R.N., “A Simultaneous Frequency Domain Technique for Estimation of Modal Parameters from Measured Data,” Society of Automotive Engineers, Paper 811046, Presented at Aerospace Congress Exposition, Anaheim, California, October 1981.

    Google Scholar 

  6. Wada, B.K. and Chen, J.C., “Test and Analysis for Structural Dynamic Systems ” Proceedings of the 4th International Modal Analysis Confer,e, February 1986, pp. 632–647.

    Google Scholar 

  7. Caesar, B., “Upuate and Identification of Dynamic Mathematical Models,” Proceedings of the 4th International Modal Analysis Conference, February 1986, pp. 394–401.

    Google Scholar 

  8. Pal, T.G. and Schidtberg, R.A., “Combining Analytical and Experimental Modal Analysis for Effective Structural Dynamic Modeling,” Proceedings of the 1st International Modal Analysis Conference, 1982, pp. 265–271.

    Google Scholar 

  9. Heylen, W. and Sas, P., “Review of Modal Optimization Techniques,” Proceedings of the 11th International Seminar on Modal Analysis, Katholieke Universiteit Leuven, Belgium, September 1986, paper W2–1.

    Google Scholar 

  10. Link, M., “Survey on Selected Update Procedures,” Proceedings of the 11th International Seminar on Modal Analysis, Katholieke Universiteit, Leuven, Belgium, September 1986, paper W2–2.

    Google Scholar 

  11. Guyan, R.J., “Reduction of Stiffness and Mass Matrices,” Journal of AIAA, Vol. 3, No. 2, Feb. 1965, pp. 380.

    Article  Google Scholar 

  12. Kaufman, S. and Hall, D.B., “Reduction of Mass and Load Matrices,” Journal of AIAA, Vol. 6, No. 3, March 1068, pp. 550–551.

    Google Scholar 

  13. Kidder, R.L., “Reduction of Structural Frequency Equations,” Journal of AIAA, Vol. 11, No. 6, June 1973, pp. 892.

    Article  Google Scholar 

  14. Sowers, J.D., “Condensation of Free Body Mass Matrices Using Flexibility Coefficients,” AIAA Journal, Vol. 16, No. 3, March 1978, pp. 272–273.

    Article  MathSciNet  MATH  Google Scholar 

  15. Downs B., “Accurate Reduction of Stiffness and Mass Matrices for Vibration Analysis and a Rationale for Selecting Master Degrees of Freedom,” ASME Journal of Mechanical Design, Vol., September 1979, pp. 1–5.

    Google Scholar 

  16. Miller, A.C., “Dynamic Reduction of Structural Models,” ASCE Journal, Structural Division, Vol. 106, 1980, pp. 2097–2108.

    Google Scholar 

  17. Anderson, L.R. and Hallauer, W.L., Jr., “A Method of Order Reduction for Structural Dynamics Based on Riccati Iteration,” AIAA Journal, Vol. 19, No. 6, June 1981, pp. 796–800.

    Article  MATH  Google Scholar 

  18. Kim, K.O. and Anderson, W.J., K.O. and Anderson, W.J., “Generalized Dynamic Reduction in Finite Element Dynamic Optimization,” AIAA Journal, Vol. 22, No. 11, November 1984, pp. 1616–1617.

    MATH  Google Scholar 

  19. Wolf, F.W. and Molnar, A.J., “Reduced System Models Using Modal Oscillators for Subsystems Rationally Normalized Modes,” Shock and Vibration Bulletin, Bulletin 44, 1974, pp. 111–118.

    Google Scholar 

  20. Baruch, M. and Bar Itshack, I.Y., “Optimal Weighted Orthogonalization of Measured Modes,” AIAA Journal, Vol. 16, No. 4, April 1978, pp. 346–351.

    Article  Google Scholar 

  21. Ibrahim, S.R., “Computation of Normal Modes from Identified Complex Modes,” AIAA Journal, Vol. 21, No. 3, March 1983, pp. 446–451.

    Google Scholar 

  22. Zhang, Q. and Lallement G., “Comparison of Normal Eigenmodes Calculation Methods Based on Identified Complex Eigenmodes,” to appear in the Journal of Spacecraft and Rockets, Nov-Dec. 1986.

    Google Scholar 

  23. Niedbal, N., “Analytical Determination of Real Normal Modes from Measured Complex Responses,” SAE paper 84–0095, Palm Springs, California, Dec. 1984.

    Google Scholar 

  24. Natke, H.G. and Rotert, D., “Determination of Normal Modes from Identified Complex Modes,” Z. Flugwiss, Weltrantorsch, 9, 1985, Helt Z.

    Google Scholar 

  25. Deblauwe, F. and Allemang, R.J., “A Possible Origin of Complex Modal Vectors,” Proceedings of the 11th International Seminar on Modal Analysis, Paper No. A2–3, Katholieke Universiteit Leuven, Leuven, Belgium, Sept. 1986.

    Google Scholar 

  26. Baruch, H. and Mirovitch, L., “Identification of Eigensolutions of Distributed Parameter Systems” Proceedings of the 23rd AIAA SDM Conference, Paper No. 82–0771, April 1982, pp. 574–581.

    Google Scholar 

  27. Allemang, R.J., “Investigation of Some Multiple Input/Output Frequency Response Experimental Modal Analysis Techniques, Ph.D. Dissertation, University of Cincinnati, Cincinnati, Ohio, 1980.

    Google Scholar 

  28. Berman, A. and Nagy, E., “Improvement of a Large Dynamic Analytical Model Using Ground Vibration Test Data,” Proceedings of the AIAA SDM Conference, Paper No. 82–0743, May 1982, pp. 301–306.

    Google Scholar 

  29. O’Callahan, J., Avitable, P., Lieu, I.W. and Madden, R., “An Efficient Method of Determination of Rotational Degrees of Freedom from Analytical and Experimental Modal Data,” Proceedings of the 4th International Modal Analysis Conference, Union College Schenectady, N.Y., February 1986, pp. 50–58.

    Google Scholar 

  30. Vold, H., “Spatial Filtering of Experimental Mode Shapes,” Proceedings of the 11th International Seminar on Modal Analysis, Katholieke Universiteit Leuven, Leuven, Belgium, Paper No. W2–8, September 1986.

    Google Scholar 

  31. Caesar, B., “Analysis Test Correlation of Dynamic Mathematical Models,” Proceedings of the DFVLR 2nd International Symposium on Aeroelasticity and Structural Dynamics, Aachen, West Germany, April 1985, pp. 617–642.

    Google Scholar 

  32. Caesar, B., “Update of Mass and Stiffness Matrices Using Modal Test Data,” Proceedings of the 11th International Seminar on Modal Analysis, Katholieke Universteit Leuven, Leuven, Belgium, Paper No. W2–4, September 1986.

    Google Scholar 

  33. Link, M., “Identification of Physical System Matrices Using Incomplete Vibration Test Data,” Proceedings of the 4th International Modal Analysis Conference, Union College, Schenectady, N.Y., February 1986.

    Google Scholar 

  34. Ibrahim, S.R., “Dynamic Modeling of Structures from Measured Complex Modes,” AIAA Journal, Vol. 21, No. 3, March 1983, pp. 898901.

    Google Scholar 

  35. Heylen, W., “Model Optimization with Measured Modal Data by Mass and Stiffness Changes,” Proceedings of the 4th International Modal Analysis Conference, Union College, Schenectady, N.Y., February 1986, pp. 94–100.

    Google Scholar 

  36. Filled R., Lallement G., Piranda, J.P. and Zhang, C., “Parametric Correction of Regular Non-Dissipative Finite Element Models,” Proceedings of the 11th International Seminar on Modal Analysis, Katholieke Universiteit Leuven, Leuven, Belgium, September 1986, Paper No. W2–6.

    Google Scholar 

  37. Liping, H., Kecheng, C. and Zhandi Xu, “Method of Modifying Structural Dynamic Model by Means of Incomplete Complex Modes Identified from Experimental Data,” The 4th International Modal Analysis Conference Proceedings, pp. 434–438, 1986.

    Google Scholar 

  38. Beliveon, J.G., Massoud, M., Baurassa, P., Lauzier, C., Vignerson, F. and Soucy Y., “Statistical Identification of the Dynamic Parameters of an Astromast from Finite Element and Test Results Using Bayesian Sensitivity Analysis,” The 1st International Modal Analysis Conference Proceedings, 1982, pp. 89–95.

    Google Scholar 

  39. Blakely, K.D. and Wallon, W.B., “Selection of Measurement and Parameter Uncertainties for Finite Element Model Resivison,” The 1st International Modal Analysis Conference Proceedings, 1982, pp. 82–88.

    Google Scholar 

  40. Fuh, J.S., Gustayson, B. and Berman, A., “Error Estimation and Compensation in Reduced Dynamic Models of Large Space Structures,” AIAA Paper No. 86–08371.

    Google Scholar 

  41. Gysin, H.P., “A Critical Application of the Error Matrix Method for Localization of Finite Element Modeling Inaccuracies,” The 4th International Modal Analysis Conference Proceedings 1986.

    Google Scholar 

  42. Natke, H.G., “Improvement of Analytical Models with Input/Output Measurements Contra Experimental Modal Analysis,” Proceedings of the 4th International Modal Analysis Conference, February 1986, pp. 409–413.

    Google Scholar 

  43. Fritzen, C.P., “Identification of Mass, Damping and Stiffness Matrices of Mechanical Systems,” ASME Journal of Vibrations, Acoustics, Stress and Reliability in Design, Vol. 108, January 1986, pp. 9–16.

    Article  Google Scholar 

  44. Badenhausen, K., “Time Domain Identification of Incomplete Physical System Matrices Using a Condensed Estimation Equation,” The Fourth International Modal Analysis Conference Proceedings, 1986, pp. 402–408.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Old Dominion University, Norfolk, Virginia, 23508, USA

    Samir R. Ibrahim (Professor of Mechanical Engineering and Mechanics)

Authors
  1. Samir R. Ibrahim
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer Fachmedien Wiesbaden

About this chapter

Cite this chapter

Ibrahim, S.R. (1988). Correlation of Analysis and Test in Modeling of Structures: Assessment and Review. In: Structural Safety Evaluation Based on System Identification Approaches. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-05657-7_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-663-05657-7_11

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-06313-9

  • Online ISBN: 978-3-663-05657-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation